Variances of Plane Parameters Fitted to Range Data

Formulas for variances of plane parameters fitted with Nonlinear Least Squares to point clouds acquired by 3D imaging systems (e.g., LADAR) are derived. Two different error objective functions used in minimization are discussed: the orthogonal and the directional functions. Comparisons of correspond...

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Detalles Bibliográficos
Autor principal: Franaszek, Marek
Formato: Online Artículo Texto
Lenguaje:English
Publicado: [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2010
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4548868/
https://www.ncbi.nlm.nih.gov/pubmed/27134798
http://dx.doi.org/10.6028/jres.115.032
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author Franaszek, Marek
author_facet Franaszek, Marek
author_sort Franaszek, Marek
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description Formulas for variances of plane parameters fitted with Nonlinear Least Squares to point clouds acquired by 3D imaging systems (e.g., LADAR) are derived. Two different error objective functions used in minimization are discussed: the orthogonal and the directional functions. Comparisons of corresponding formulas suggest the two functions can yield different results when applied to the same dataset.
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spelling pubmed-45488682016-04-29 Variances of Plane Parameters Fitted to Range Data Franaszek, Marek J Res Natl Inst Stand Technol Article Formulas for variances of plane parameters fitted with Nonlinear Least Squares to point clouds acquired by 3D imaging systems (e.g., LADAR) are derived. Two different error objective functions used in minimization are discussed: the orthogonal and the directional functions. Comparisons of corresponding formulas suggest the two functions can yield different results when applied to the same dataset. [Gaithersburg, MD] : U.S. Dept. of Commerce, National Institute of Standards and Technology 2010 2010-12-01 /pmc/articles/PMC4548868/ /pubmed/27134798 http://dx.doi.org/10.6028/jres.115.032 Text en https://creativecommons.org/publicdomain/zero/1.0/ The Journal of Research of the National Institute of Standards and Technology is a publication of the U.S. Government. The papers are in the public domain and are not subject to copyright in the United States. Articles from J Res may contain photographs or illustrations copyrighted by other commercial organizations or individuals that may not be used without obtaining prior approval from the holder of the copyright.
spellingShingle Article
Franaszek, Marek
Variances of Plane Parameters Fitted to Range Data
title Variances of Plane Parameters Fitted to Range Data
title_full Variances of Plane Parameters Fitted to Range Data
title_fullStr Variances of Plane Parameters Fitted to Range Data
title_full_unstemmed Variances of Plane Parameters Fitted to Range Data
title_short Variances of Plane Parameters Fitted to Range Data
title_sort variances of plane parameters fitted to range data
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4548868/
https://www.ncbi.nlm.nih.gov/pubmed/27134798
http://dx.doi.org/10.6028/jres.115.032
work_keys_str_mv AT franaszekmarek variancesofplaneparametersfittedtorangedata

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